Contributions à l'Etude du Vertex Topologique en Théorie ... - Toubkal

340 L.B. Drissi et al. / Nuclear Physics B 804 [PM] (2008) 307–341References[1] M. Marino, Chern–Simons theory and topological strings, Rev. Mod. Phys. 77 (2005) 675–720, hep-th/0406005.[2] R. Dijkgraaf, E. Verlinde, H. Verlinde, Notes on topological string theory and two-dimensional topological gravity,in: String Theory and Quantum Gravity, World Scientific, 1991, p. 91.[3] M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Kodaira–Spencer theory of gravity and exact results for quantumstring amplitudes, Commun. Math. Phys. 165 (1994) 311, hep-th/9309140.[4] G.L. Cardoso, B. de Wit, J. Kappeli, T. Mohaupt, Stationary BPS solutions in N = 2 supergravity with R 2 -interactions, JHEP 0012 (2000) 019, hep-th/0009234.[5] A. Ceresole, R. D’Auria, S. Ferrara, The symplectic structure of N = 2 supergravity and its central extension, Nucl.Phys. B (Proc. Suppl.) 46 (1996) 67–74, hep-th/9509160.[6] T. Graber, E. Zaslow, Open string Gromov–Witten invariants: Calculations and a mirror ‘theorem’, hep-th/0109075.[7] M. Aganagic, A. Klemm, C. Vafa, Disk instantons, mirror symmetry and the duality web, hep-th/0105045.[8] J. Bryan, R. Pandharipande, Curves in Calabi–Yau and topological quantum field theory, Duke Math. 126 (2005)369–396;J. Bryan, R. Pandharipande, On the rigidity of stable maps to Calabi–Yau threefolds, Geom. Topol. Monogr. 8(2006) 97–104.[9] J. Bryan, R. Pandharipande, The local Gromov–Witten theory of curves, math.AG/0411037.[10] D. Karp, C. Liu, M. Marino, The local Gromov–Witten invariants of configuration of rational curves, Geom. Topol.Monogr. 10 (2006) 115–168.[11] H. Ooguri, A. Strominger, C. Vafa, Black hole attractors and the topological string, Phys. Rev. D 70 (2004) 106007,hep-th/0405146.[12] C. Vafa, Two dimensional Yang–Mills, black holes and topological strings, hep-th/0406058.[13] A. Dabholkar, Exact counting of black hole microstates, Phys. Rev. Lett. 94 (2005) 241–301, hep-th/0409148.[14] H. Ooguri, C. Vafa, E. Verlinde, Hartle–Hawking wave-function for flux compactifications, Lett. Math. Phys. 74(2005) 311–342, hep-th/0502211.[15] R. Dijkgraaf, R. Gopakumar, H. Ooguri, C. Vafa, Baby universes in string theory, Phys. Rev. D 73 (2006) 066002,hep-th/0504221.[16] A. Belhaj, L.B. Drissi, E.H. Saidi, A. Segui, N = 2 supersymmetric black attractors in six and seven dimensions,Nucl. Phys. B 796 (2008) 521–580, arXiv: 0709.0398.[17] E.H. Saidi, M.B. Sedra, Topological string in harmonic space and correlation functions in S 3 stringy cosmology,Nucl. Phys. B 748 (2006) 380–457, hep-th/0604204.[18] M. Aganagic, A. Neitzke, C. Vafa, BPS microstates and the open topological string wave function, hep-th/0504054.[19] E. Witten, Topological sigma models, Commun. Math. Phys. 118 (1988) 411.[20] M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Holomorphic anomalies in topological field theories, Nucl. Phys.B 405 (1993) 279–304.[21] H. Ooguri, C. Vafa, Knot invariants and topological strings, Nucl. Phys. B 577 (2000) 419, hep-th/9912123.[22] J. Walcher, Extended holomorphic anomaly and loop amplitudes in open topological, string, arXiv: 0705.4098[hep-th].[23] S. Yamaguchi, S.T. Yau, Topological string partition functions as polynomials, JHEP 0407 (2004) 047, hep-th/0406078.[24] M. Alim, J.D. Lange, Polynomial structure of the (open) topological string partition function, JHEP 0710 (2007)045, arXiv: 0708.2886 [hep-th].[25] M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino, C. Vafa, Topological strings and integrable hierarchies, Commun.Math. Phys. 261 (2006) 451, hep-th/0312085.[26] V. Bouchard, B. Florea, M. Marino, Topological open string amplitudes on orientifolds, JHEP 0502 (2005) 002,hep-th/0411227.[27] M. Aganagic, C. Vafa, Mirror symmetry, D-branes and counting holomorphic discs, hep-th/0012041.[28] M. Aganagic, A. Klemm, M. Marino, C. Vafa, The topological vertex, Commun. Math. Phys. 254 (2005) 425–478,hep-th/0305132.[29] A. Iqbal, A.-K. Kashani-Poor, The vertex on a strip, hep-th/0410174;A. Iqbal, A.-K. Kashani-Poor, Instanton counting and Chern–Simons theory, Adv. Theor. Math. Phys. 7 (2004)457–497, hep-th/0212279.[30] A. Iqbal, C. Kozcaz, C. Vafa, The refined topological vertex, hep-th/0701156.[31] P. Sulkowski, Crystal model for the closed topological vertex geometry, JHEP 0612 (2006) 030, hep-th/0606055.[32] A. Iqbal, C. Kozcaz, C. Vafa, The refined topological vertex, hep-th/0701156.